4th Grade Connecting Multiplication and Division
Note: Mult. & Div: Part 1 and 2 is presented in a total of 7 weeks. Multi.& Div. Part 1 includes weeks 1 -4 and Multi. & Div. Part 2 includes weeks 5 to 7.
(links need to be fixed)
(Investigations Unit 3/Math Expressions Units X)
Week 1 Week 2 Week 3 Week 4
Investigations Teacher Manual Unit 3
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Math Expressions Units 2, 3, & 4
Investigations Teacher Manual Unit 8
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A Month-to-Month Guide
Chapter 5: Connecting multiplication and Division |
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Common Core Standards
Generalize place value understanding for multi-digit whole numbers.
CCSS.MATH.CONTENT.4.NBT.A.1
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
CCSS.MATH.CONTENT.4.NBT.A.2
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
CCSS.MATH.CONTENT.4.NBT.A.3
Use place value understanding to round multi-digit whole numbers to any place.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
CCSS.MATH.CONTENT.4.NBT.B.4
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
CCSS.MATH.CONTENT.4.NBT.B.5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
CCSS.MATH.CONTENT.4.NBT.B.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
1 Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
Generalize place value understanding for multi-digit whole numbers.
CCSS.MATH.CONTENT.4.NBT.A.1
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
CCSS.MATH.CONTENT.4.NBT.A.2
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
CCSS.MATH.CONTENT.4.NBT.A.3
Use place value understanding to round multi-digit whole numbers to any place.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
CCSS.MATH.CONTENT.4.NBT.B.4
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
CCSS.MATH.CONTENT.4.NBT.B.5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
CCSS.MATH.CONTENT.4.NBT.B.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
1 Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
Math Expressions: Unit 2 - Multiplication with Whole Numbers Investigations:
Investigation Unit 8 TA: How many Packages? How Many Groups?) Multiplication with 2-Digit Numbers
4.NBT.5. Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Rich Math Task - Breaking Rectangles Apart Investigation
Math Expressions: Lesson 4 - Model One-Digit by Two Digit Multiplication
Lesson 5 - Estimate Products Investigations
Session 4.1: Making Estimates Students make estimates for two-digit multiplication problems. u8_M7-M8.pdf (Letter to Parents)
Session 4.2: Breaking Numbers Apart Students estimate and solve 2-digit by 2-digit multiplication problems. Use Math talk Strategies
Investigations Session 4.3.: Multiplication Cluster Problems Students solve problems by discussing how to decompose and pull apart numbers.
u8_M9-M10.pdf (Family Letter)
u8_M11.pdf- Centimeter Grid paper.pdf
Math Expressions: Lesson 6 - Use Place Value to Multiply Investigations
Session 4.4.: Assessment: Solving Multiplication Problem
(Students play a game where students identify factor for multiples of ten).
u8_M14.pdf Factor Bingo Gameboards Cards A-D.pdf
u8_M15.pdf Factor Bingo Gameboards.pdf
u8_M16.pdf Number Cards for Factor Bingo.pdf
u8_M17.pdf Factor Bingo Game Instructions.pdf
u8_M18.pdf Assessment Checklist.pdf
Investigations Session 4.5.: Solving 2-Digit Numbers Students continue identifying factors and multiples of 10 and 100 discussing conjectures. Students continue playing Factor Bingo. u8_M14.pdf Factor Bingo Gameboards Cards A-D-1.pdf
u8_M15.pdf Factor Bingo Gameboards-1.pdf
u8_M17.pdf Factor Bingo Game Instructions-1.pdf
Strategies for Multiplication
Session 5.1.: Making An Easier Problem Students solve a multiplication problem by changing one of the factors to a number that is a multiple of 10 (halving or doubling a factor, using friendly numbers) multiples of 10.
Some example strategies for students Video
Strategy Teaching Video: Teacher talks and moves
Fun for the Kids Video: Teachers rapping the strategy!
Session 5.2. Session 5.3 : How Did You Start? Students practice solving a variety of multiplication problems.
Session 5.4.: Practicing Multiplication Students continue solving multiplication problems.
Session 5.5.: Assessment : 34 x 68 M19
Solving Division Problems
Session 6.1.: How Many Groups Can You Make? Students solve and represent division problems.
Session 6.2 and 6.3.: Solving Division Problems Students use their knowledge of factors and multiples to solve division problems.
Centimeter Grid Paper M11 300
Chart M20
Session 6.4.: Sharing Division Strategies Students discuss their strategies for solving division problems.
Session 6.5.: Solving Problems in Context Students solve both multiplication and division problems in story contexts.
Session 6.6.: End of Unit Assessment Students solve a 2-digit by 2-digit multiplication problem and division problem with a small 2-digit divisor. M-21-M22
Additional Games and Rich tasks to continue... See part two (bigger numbers)
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